2ax(x-8)+qx(x-8)=

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Solution for 2ax(x-8)+qx(x-8)= equation:


Simplifying
2ax(x + -8) + qx(x + -8) = 0

Reorder the terms:
2ax(-8 + x) + qx(x + -8) = 0
(-8 * 2ax + x * 2ax) + qx(x + -8) = 0
(-16ax + 2ax2) + qx(x + -8) = 0

Reorder the terms:
-16ax + 2ax2 + qx(-8 + x) = 0
-16ax + 2ax2 + (-8 * qx + x * qx) = 0
-16ax + 2ax2 + (-8qx + qx2) = 0

Solving
-16ax + 2ax2 + -8qx + qx2 = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '8qx' to each side of the equation.
-16ax + 2ax2 + -8qx + 8qx + qx2 = 0 + 8qx

Combine like terms: -8qx + 8qx = 0
-16ax + 2ax2 + 0 + qx2 = 0 + 8qx
-16ax + 2ax2 + qx2 = 0 + 8qx
Remove the zero:
-16ax + 2ax2 + qx2 = 8qx

Add '-1qx2' to each side of the equation.
-16ax + 2ax2 + qx2 + -1qx2 = 8qx + -1qx2

Combine like terms: qx2 + -1qx2 = 0
-16ax + 2ax2 + 0 = 8qx + -1qx2
-16ax + 2ax2 = 8qx + -1qx2

Reorder the terms:
-16ax + 2ax2 + -8qx + qx2 = 8qx + -8qx + -1qx2 + qx2

Combine like terms: 8qx + -8qx = 0
-16ax + 2ax2 + -8qx + qx2 = 0 + -1qx2 + qx2
-16ax + 2ax2 + -8qx + qx2 = -1qx2 + qx2

Combine like terms: -1qx2 + qx2 = 0
-16ax + 2ax2 + -8qx + qx2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-16a + 2ax + -8q + qx) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-16a + 2ax + -8q + qx)' equal to zero and attempt to solve: Simplifying -16a + 2ax + -8q + qx = 0 Solving -16a + 2ax + -8q + qx = 0 Move all terms containing a to the left, all other terms to the right. Add '8q' to each side of the equation. -16a + 2ax + -8q + 8q + qx = 0 + 8q Combine like terms: -8q + 8q = 0 -16a + 2ax + 0 + qx = 0 + 8q -16a + 2ax + qx = 0 + 8q Remove the zero: -16a + 2ax + qx = 8q Add '-1qx' to each side of the equation. -16a + 2ax + qx + -1qx = 8q + -1qx Combine like terms: qx + -1qx = 0 -16a + 2ax + 0 = 8q + -1qx -16a + 2ax = 8q + -1qx The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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